Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients

This paper studies the uniqueness of solutions to a two-term nonlinear fractional integro-differential equation with nonlocal boundary condition and variable coefficients based on the Mittag-Leffler function, Babenko’s approach, and Banach’s contractive principle. An example is also provided to illu...

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Detalles Bibliográficos
Autor principal: Li, Chenkuan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2023
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10017622/
https://www.ncbi.nlm.nih.gov/pubmed/36938531
http://dx.doi.org/10.1186/s13661-023-01713-6
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author Li, Chenkuan
author_facet Li, Chenkuan
author_sort Li, Chenkuan
collection PubMed
description This paper studies the uniqueness of solutions to a two-term nonlinear fractional integro-differential equation with nonlocal boundary condition and variable coefficients based on the Mittag-Leffler function, Babenko’s approach, and Banach’s contractive principle. An example is also provided to illustrate the applications of our theorem.
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spelling pubmed-100176222023-03-17 Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients Li, Chenkuan Bound Value Probl Research This paper studies the uniqueness of solutions to a two-term nonlinear fractional integro-differential equation with nonlocal boundary condition and variable coefficients based on the Mittag-Leffler function, Babenko’s approach, and Banach’s contractive principle. An example is also provided to illustrate the applications of our theorem. Springer International Publishing 2023-03-15 2023 /pmc/articles/PMC10017622/ /pubmed/36938531 http://dx.doi.org/10.1186/s13661-023-01713-6 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Research
Li, Chenkuan
Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients
title Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients
title_full Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients
title_fullStr Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients
title_full_unstemmed Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients
title_short Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients
title_sort uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10017622/
https://www.ncbi.nlm.nih.gov/pubmed/36938531
http://dx.doi.org/10.1186/s13661-023-01713-6
work_keys_str_mv AT lichenkuan uniquenessofanonlinearintegrodifferentialequationwithnonlocalboundaryconditionandvariablecoefficients

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